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hai bài câu a mik lm đc r nhe mn lm giúp mik câu b thôi ạ mik ko bt lm;-;
Bài 3:
\(a,=-\left(x^2-2x+1\right)-2=-\left(x-1\right)^2-2\le-2\)
Dấu \("="\Leftrightarrow x=1\)
\(b,=-2\left(x^2+2\cdot\dfrac{1}{4}x+\dfrac{1}{16}\right)+\dfrac{9}{8}=-2\left(x+\dfrac{1}{4}\right)^2+\dfrac{9}{8}\le\dfrac{9}{8}\)
Dấu \("="\Leftrightarrow x=-\dfrac{1}{4}\)
Bài 4:
\(a,=\left(x^2+2\cdot\dfrac{5}{2}x+\dfrac{25}{4}\right)-\dfrac{21}{4}=\left(x+\dfrac{5}{2}\right)^2-\dfrac{21}{4}\ge-\dfrac{21}{4}\)
Dấu \("="\Leftrightarrow x=-\dfrac{5}{2}\)
\(b,=\left(x^2-8x+16\right)+1=\left(x-4\right)^2+1\ge1\)
Dấu \("="\Leftrightarrow x=4\)
17: =7x(x-y)+(x-y)=(x-y)(7x+1)
18: =(x-1)(x+x-1)=(x-1)(2x-1)
16: =4x(x-y)+3(x-y)2
=(x-y)(4x+3x-3y)
=(x-y)(7x-3y)
a: \(x^2-9y^2=\left(x-3y\right)\left(x+3y\right)\)
c: \(\left(x+5\right)^2-16=\left(x+1\right)\left(x+9\right)\)
e: \(\left(2x+3\right)^2-\left(x-7\right)^2\)
\(=\left(2x+3+x-7\right)\left(2x+3-x+7\right)\)
\(=\left(3x-4\right)\left(x+10\right)\)
Đặt t = 111...1 + 7
(n số 1)
=> a.b + 4 = (t + 2).(t - 2) + 4
= t2 - 4 + 4
= t2, là số chính phương (đpcm)
a, điều kiện xác định là \(x\ne1;x\ne-1\)
\(\frac{3x+3}{x^2-1}\)
\(=\frac{3\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}\)
\(=\frac{3}{x-1}\)
b, để \(\frac{3x+3}{x^2-1}=-2\Rightarrow\frac{3}{x-1}=-2\)
\(\Rightarrow-2x+2=3\)
\(\Rightarrow-2x=1\)
\(\Rightarrow x=-\frac{1}{2}\)
a. ĐKXĐ: x2 - 1\(\ne\)0 (=) x \(\ne\)\(\pm\)1
b. \(\frac{3x+3}{x^2-1}\)
\(=\frac{3\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}\)
\(=\frac{3}{x+1}\)với x \(\pm\)1
c. \(\frac{3}{x+1}=-2\)
\(\Rightarrow\)\(\left(x+1\right).\left(-2\right)=3\)
\(-2x-2=3\)
\(-2x=5\)
\(x=-\frac{5}{2}\)(t/m đk)
\(A=\frac{1}{3589}.7\frac{1}{297}-3\frac{3588}{3589}.\frac{2}{297}-\frac{7}{3589}-\frac{3}{3589.297}\)
\(A=\frac{1}{3589}.\left(7+\frac{1}{297}\right)-\left(4-\frac{1}{3589}\right).2.\frac{1}{297}-7.\frac{1}{3589}-3.\frac{1}{3689}.\frac{1}{297}\)
\(A=7.\frac{1}{3689}+\frac{1}{3589}.\frac{1}{297}-8.\frac{1}{297}+2.\frac{1}{3589}.\frac{1}{297}-7.\frac{1}{3589}\)
\(A=-8.\frac{1}{297}\)
\(A=\frac{-8}{297}\)
8A nhé
x_x vc khó thế